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Finding the Fourth Proportional to 1,216.62, 1,822.80 and 902.85

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Solution

The fourth proportional to 1,216.62, 1,822.80 and 902.85 is: 1,352.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.62 : 1,822.80 = 902.85 : x
  2. Step 2: Convert to fraction form
    1,216.62/1,822.80 = 902.85/x
  3. Step 3: Cross multiply
    1,216.62x = 1,822.80 × 902.85
  4. Step 4: Simplify right side
    1,216.62x = 1,645,711.53
  5. Step 5: Solve for x
    x = 1,645,711.53/1,216.62
  6. Step 6: Final answer
    x = 1,352.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.